Question

value: 2
solve for x.
z w
5x - 8
3x
v
2x + 10
y x
a. 10
b. 6
c. -4
d. 12

Explanation:

Step1: Set up the equation

Assume the diagonals of the parallelogram bisect each other. So we set $5x - 8=2x + 10$.

Step2: Move like - terms

Subtract $2x$ from both sides: $5x-2x - 8=2x-2x + 10$, which simplifies to $3x-8 = 10$.

Step3: Isolate the variable

Add 8 to both sides: $3x-8 + 8=10 + 8$, getting $3x=18$.

Step4: Solve for x

Divide both sides by 3: $\frac{3x}{3}=\frac{18}{3}$, so $x = 6$.

Answer:

B. 6